The number 4182
4182 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 41. Divisors (16): 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4182 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4182 is composite. Its prime factorisation is
- 3
The divisors add up to 9072; without 4182 itself that is 4890, so 4182 is abundant (4890 is more than 4182). Euler's totient φ(4182) = 1280 numbers up to 4182 share no factor with it.
- 4
The digits of 4182 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4182 = 2 \times 3 \times 17 \times 41 \]
4182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9072 |
| Euler totient φ(n) | 1280 |
| Square | 17489124 |
| Cube | 73139516568 |
| Square root | 64.668385 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 38 |
| Scientific notation | 4.182 × |
4182 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and eighty-two |
| Binary (base 2) | 1000001010110 |
| Octal (base 8) | 10126 |
| Hexadecimal (base 16) | 1056 |
| Base 3 | 12201220 |
| As time | 4182 seconds = 1 h 9 min 42 s |
Is 4182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4182 ÷ 2 = 2091) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4182 ÷ 3 = 1394) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4182 ÷ 6 = 697) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4182 a prime number?
No. 4182 = 2 × 3 × 17 × 41, so it is divisible by 2.
What are the factors of 4182?
1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182.
What is 4182 in binary?
1000001010110 (hexadecimal 1056, octal 10126).
What is the square root of 4182?
About 64.6684.
Is 4182 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4182?
It is a composite number with 16 divisors.